Details

sample124.0ms

Algorithm

intervals

Results

93.0ms	108×	body	10240	exit
15.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize47.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 47

Calls

2 calls:

19.0ms	(+ (exp a) (exp b))
41.0ms	(/ (exp a) (+ (exp a) (exp b)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (exp a) (exp b))
69.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.1s

Counts

53 → 53

Iterations

Iter	Nodes
done	5051
4	2638
3	1052
2	471
1	178
0	80

prune242.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.5b	(- a (log (+ (exp a) (exp b))))
2.2b	(log (+ (exp a) (exp b)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`log-prod`
7×	`pow1` `add-cube-cbrt`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`flip3-+` `add-cbrt-cube` `exp-sum` `flip-+` `insert-posit16` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `distribute-lft-out`
2×	`sub-neg` `diff-log` `difference-of-squares` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

4 → 72

Calls

4 calls:

13.0ms	(+ (exp a) (exp b))
18.0ms	(exp (- a (log (+ (exp a) (exp b)))))
20.0ms	(- a (log (+ (exp a) (exp b))))
16.0ms	(log (+ (exp a) (exp b)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (exp a) (exp b))
66.0ms	(exp (- a (log (+ (exp a) (exp b)))))
37.0ms	(- a (log (+ (exp a) (exp b))))
59.0ms	(log (+ (exp a) (exp b)))

simplify2.7s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
4	4616
3	1456
2	567
1	244
0	111

prune382.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp a) (exp b)))
0.0b	(sqrt (+ (exp a) (exp b)))
0.7b	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
1.1b	(/ (exp a) (sqrt (+ (exp a) (exp b))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
232×	`sqrt-prod`
192×	`add-sqr-sqrt`
190×	`add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-cbrt-cube`
10×	`div-inv`
9×	`add-exp-log`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 321

Calls

4 calls:

23.0ms	(sqrt (+ (exp a) (exp b)))
14.0ms	(sqrt (+ (exp a) (exp b)))
64.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
35.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (+ (exp a) (exp b)))
59.0ms	(sqrt (+ (exp a) (exp b)))
42.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
101.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

simplify1.8s

Counts

333 → 333

Iterations

Iter	Nodes
done	5001
2	1629
1	707
0	316

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (- a b) 1/2) (log 2))
0.0b	(exp (- (* (- a b) 1/2) (log 2)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`pow1` `sub-neg` `add-cbrt-cube` `diff-log` `exp-sum` `add-exp-log` `insert-posit16` `rem-exp-log`
1×	`flip3--` `exp-diff` `flip--`

Counts

2 → 32

Calls

2 calls:

21.0ms	(- (* (- a b) 1/2) (log 2))
66.0ms	(exp (- (* (- a b) 1/2) (log 2)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (* (- a b) 1/2) (log 2))
65.0ms	(exp (- (* (- a b) 1/2) (log 2)))

simplify1.4s

Counts

38 → 38

Iterations

Iter	Nodes
done	5007
3	1749
2	448
1	158
0	67

prune167.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes173.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.1s	3508×	body	10240	exit
891.0ms	8000×	body	80	valid